On dealing with low frequency problems using MoM and dielectrics in a simplified IEMI scenario

Some preliminary results are shown about the application to the case of dielectric and metallic object of a multiresolution change of basis to deal with the low-frequency breakdown appearing in the surface integral equation formulation of electromagnetic modelling. The main effect of the change of basis is to allow a simple diagonal preconditioner to become very effective, with respect to the analogous application without the change of basis. The idea, developed for the case of impenetrable objects treated with the Electric Field Integral Equation, is here applied to the case of penetrable objects as well, treated with the standard Poggio-Miller-Chang-Harrington-Wu-Tsai formulation. The effects on the condition number of the system resulting to the application of the Method of Moments, on the convergence path of an iterative solver, on the global error and on the error on the induced current in a simplified IEMI scenario are presented.